82803633 has 16 divisors (see below), whose sum is σ = 120609216. Its totient is φ = 50114240.

The previous prime is 82803629. The next prime is 82803647. The reversal of 82803633 is 33630828.

It is not a de Polignac number, because 82803633 - 2² = 82803629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 82803594 and 82803603.

It is not an unprimeable number, because it can be changed into a prime (82803673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32191 + ... + 34667.

It is an arithmetic number, because the mean of its divisors is an integer number (7538076).

Almost surely, 2^82803633 is an apocalyptic number.

It is an amenable number.

82803633 is a deficient number, since it is larger than the sum of its proper divisors (37805583).

82803633 is a wasteful number, since it uses less digits than its factorization.

82803633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 82803633 is about 9099.6501581105. The cubic root of 82803633 is about 435.8627927966.

It can be divided in two parts, 82803 and 633, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 82803633 in words is "eighty-two million, eight hundred three thousand, six hundred thirty-three".